Elasticae with constant slant in the complex projective plane and new examples of Willmore tori in five spheres

DOI10.2748/tmj/1178224810zbMath0965.53040OpenAlexW2055290594MaRDI QIDQ1306670

Manuel Barros, David A. Singer, Óscar J. Garay

Publication date: 20 December 1999

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224810

zbMATH Keywords

elastic curvesWillmore torus

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (17)

Some examples of critical points for the total mean curvature functional ⋮ Kirchhoff elastic rods in the three-sphere ⋮ Stark hypersurfaces in complex projective space ⋮ Critical points of the acceleration in \(\mathbb {CP}^{2}\)(4) ⋮ Extendability of Kirchhoff elastic rods in complete Riemannian manifolds ⋮ Elasticae in Killing submersions ⋮ Kirchhoff elastic rods in five-dimensional space forms whose centerlines are not helices ⋮ Reduction of variables for Willmore-Chen submanifolds in seven spheres ⋮ Closed free hyperelastic curves in the hyperbolic plane and Chen-Willmore rotational hyper\-surfaces ⋮ Kirchhoff elastic rods in three-dimensional space forms ⋮ Willmore tori in a wide family of conformal structures on odd dimensional spheres ⋮ Kirchhoff elastic rods in higher-dimensional space forms ⋮ Conformal tension in string theories and M-theory ⋮ Symmetric soliton configurations of bosonic string theories ⋮ On Willmore surfaces in 𝑆ⁿ of flat normal bundle ⋮ GLOBAL SOLUTIONS OF THE EQUATION OF THE KIRCHHOFF ELASTIC ROD IN SPACE FORMS ⋮ Willmore tori and Willmore-Chen submanifolds in pseudo-Riemannian spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The total squared curvature of closed curves
• Hopf tori in \(S^ 3\)
• Curve-straightening in Riemannian manifolds
• Fat bundles and symplectic manifolds
• Contact manifolds in Riemannian geometry
• Elasticae in a Riemannian submanifold
• Stationary 2-type surfaces in a hypersphere
• Willmore tori in non-standard 3-spheres
• Free Elastic Parallels in a Surface of Revolution

This page was built for publication: Elasticae with constant slant in the complex projective plane and new examples of Willmore tori in five spheres